88390268928000 has 2400 divisors, whose sum is σ = 375945156595008. Its totient is φ = 20469252096000.

The previous prime is 88390268927999. The next prime is 88390268928103. The reversal of 88390268928000 is 82986209388.

88390268928000 is a `hidden beast` number, since 8 + 8 + 3 + 90 + 268 + 9 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36661246795 + ... + 36661249205.

Almost surely, 2^{88390268928000} is an apocalyptic number.

88390268928000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88390268928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187972578297504).

88390268928000 is an abundant number, since it is smaller than the sum of its proper divisors (287554887667008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88390268928000 is a wasteful number, since it uses less digits than its factorization.

88390268928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 88390268928000 in words is "eighty-eight trillion, three hundred ninety billion, two hundred sixty-eight million, nine hundred twenty-eight thousand".